Regardi...
"...specific kinds of magic or occult practices that are forbidden in the Tanakh. My question is what are they, what exactly do they refer to, and are there forms that are considered permissible according to the Oral Torah's interpretation..."
As fot the Tanakh, there are no "acceptable" forms of magic. Here are a few forbidden practices...
Not to make a graven image; neither to make it oneself nor to have it made by others (Ex. 20:4)
Not to make any figures for ornament, even if they are not worshipped (Ex. 20:20)
Not to make idols even for others (Ex. 34:17; Lev. 19:4)
Not to use the ornament of any object of idolatrous worship (Deut. 7:25)
Not to make use of an idol or its accessory objects, offerings, or libations (Deut. 7:26)
Not to drink wine of idolaters (Deut. 32:38).
Not to worship an idol in the way in which it is usually worshipped (Ex. 20:5)
Not to bow down to an idol, even if that is not its mode of worship (Ex. 20:5)
Not to prophesy in the name of an idol (Ex. 23:13; Deut. 18:20)
Not to hearken to one who prophesies in the name of an idol (Deut. 13:4)
Not to practice onein (observing times or seasons as favorable or unfavorable, using astrology) (Lev. 19:26) .
Not to practice nachesh (doing things based on signs and portents; using charms and incantations) (Lev. 19:26) .
Not to consult ovoth (ghosts) (Lev. 19:31)
Not to consult yid'onim (wizards) (Lev. 19:31)
Not to practice kisuf (magic using herbs, stones and objects that people use) (Deut. 18:10)
Not to practice kessem (a general term for magical practices) (Deut. 18:10)
Not to practice the art of a chover chaver (casting spells over snakes and scorpions) (Deut. 18:11)
Not to enquire of an ob (a ghost) (Deut. 18:11)
Not to seek the maytim (dead) (Deut. 18:11)
Not to enquire of a yid'oni (wizard) (Deut. 18:11)
Not to remove the entire beard, like the idolaters (Lev. 19:27)
Not to round the corners of the head, as the idolatrous priests do (Lev. 19:27)
Not to cut oneself or make incisions in one's flesh in grief, like the idolaters (Lev. 19:28; Deut. 14:1)
Not to tattoo the body like the idolaters (Lev. 19:28)
Not to make a bald spot for the dead (Deut. 14:1)
Not to plant a tree for worship (Deut. 16:21)
Not to set up a pillar (for worship) (Deut. 16:22)